Here's the intro to Bio summation
You have a thing in biology called DNA, DNA is made up of base pairs, base pairs are classified by 4 letters (ATCG) based on the molecule in the base pair. You literally have billions (maybe even a trillion) base pairs made up of those 4 molecules, which form a double helix called DNA, which forms chromatids which form chromosones, which are the genetic makeup of cells. Mutation occurs in about 1 in a million base pairs, but when you add it all up it occurs a lot in just one person's replication of DNA. Most base pairs are dormant and are leftovers from evolution and don't do anything, but the few that do, control anything from alcoholism to skin pigment to cancer (that's right evolution explains cancer)... some base pairs when mutated will kill you, others will make you Lebron James (the proof is Lebron James). This is science, I have observed it with my own eyes as a 1st year Biology student.
Its hard to document mutation because it occurs on such a large scale, but we do know of the existence of mutation and what it can do (kill you). We can usually even mark on which chromosome and where the mutation is (given controlled and uncontrolled variables).